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Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations

✍ Scribed by Antoine, Xavier; Besse, Christophe; Descombes, Stephane


Book ID
120466305
Publisher
Society for Industrial and Applied Mathematics
Year
2006
Tongue
English
Weight
1014 KB
Volume
43
Category
Article
ISSN
0036-1429

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Non-reflecting boundary conditions for t
✍ Achim Schädle 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 83 KB

Non-reflecting boundary conditions are introduced for the two-dimensional Fresnel/Schrödinger equation. These are nonlocal in time and in space. Time discretization is done by the trapezoidal rule in the interior and by convolution quadrature on the boundary. A convergence estimate is given for the